SENSEI AI
About App

Expand the expression $(x-3)(x-2)$.

AlgebraPolynomialsExpansionFOIL method
2025/4/27

1. Problem Description

Expand the expression (x−3)(x−2)(x-3)(x-2).

2. Solution Steps

To expand the expression (x−3)(x−2)(x-3)(x-2), we use the distributive property (also known as the FOIL method).
(x−3)(x−2)=x(x−2)−3(x−2)(x-3)(x-2) = x(x-2) - 3(x-2)
=x∗x−x∗2−3∗x+3∗2= x*x - x*2 - 3*x + 3*2
=x2−2x−3x+6= x^2 - 2x - 3x + 6
=x2−5x+6= x^2 - 5x + 6

3. Final Answer

x2−5x+6x^2 - 5x + 6

Related problems in "Algebra"

The problem asks us to simplify the expression $3x + 7x$.

SimplificationAlgebraic ExpressionsCombining Like Terms
2025/4/29

The problem provides a function $f(x) = \frac{1}{4} - (x - \frac{3}{2})^2$ and asks to: 1) Develop, ...

Quadratic FunctionsEquation SolvingAbsolute ValueSimplification
2025/4/29

The problem asks us to calculate $cis(72^\circ)$. The notation $cis(\theta)$ is equivalent to $cos(...

TrigonometryComplex NumbersCosineSineQuadratic Equations
2025/4/29

The problem asks us to find the values of $m$ and $c$ in the equation $y = mx + c$ for the given lin...

Linear EquationsSlopeY-interceptCoordinate Geometry
2025/4/29

Find the equation of the line that passes through the points $(-5, -3)$ and $(10, -6)$.

Linear EquationsSlope-Intercept FormCoordinate Geometry
2025/4/29

The problem is to solve the equation $\frac{x}{7} = 18$ for $x$.

Linear EquationsSolving EquationsVariables
2025/4/29

We are given that a line has an x-intercept of 5 and a y-intercept of 3. We need to find the equatio...

Linear EquationsInterceptsSlope-intercept formEquation of a line
2025/4/29

The problem requires us to solve the inequality $20 + 7x \le 34$ and graph the solution on the numbe...

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

The problem asks us to write the inequality in terms of $x$ that each of the given diagrams represen...

InequalitiesNumber LineGraphing Inequalities
2025/4/28

We are given two problems. (a) We are given a number line with a filled circle at -3 and an arrow po...

InequalitiesNumber LineSolving Inequalities
2025/4/28